The graph of \(y = \frac 34x +5\) has a slope of 3/4 and a y-intercept of 5
The linear equation is given as:
\(y = \frac 34x +5\)
Set x = 0
\(y = \frac 34 * 0 +5 = 5\)
Set x = 1
\(y = \frac 34 * 1 +5 = 5\frac 34\)
Set x = 2
\(y = \frac 34 * 2 +5 = 6\frac 12\)
The above means that, the graph of \(y = \frac 34x +5\) passes the following points
\((x,y) = \{(0,5), (1, 5\frac 34), (2,6\frac 12)\}\)
See attachment for the graph of the linear function \(y = \frac 34x +5\)
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Need help please
What additional information would be necessary to prove that the two triangles, XBY and ZAY, are
congruent?
Answer: Congruent triangles have congruent corresponding sides.
(Note): This is not the correct answer..This is an Example. :)
Step-by-step explanation: part a) draw two triangles, translating one of them to the right.
part b) Consider triangles ΔYXB and ΔYZA. In these triangles:
∠Y is common, then ∠XYB≅∠ZYA (additional information that is needed);
∠YXB≅∠YZA (given);
XY≅ZY (given).
Therefore, these two triangles have two congruent angles adjacent to congruent sides. By the ASA Postulate, ΔYXB≅ΔYZA.
ASA Postulate: If two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle, then the triangles are congruent.
Hope This Was helpful..
Answer:
You could use the ASA theorem to prove that the congruent angles and side are congruent. Or you could use CPCTC which is Corresponding parts of congruent triangles are congruent. By using these two theorems you could prove that these triangles are congruent and not similar.
Step-by-step explanation:
what is the equstion of s line with a y-intercept of -5 and a slope of 8
Answer:
y = 8x - 5
Step-by-step explanation:
Given:
Slope: 8Y-intercept: -5To find:
Equation.How to find:
The slope is always known as "constant of variation" or "rate of change", but it's basically the increase of both y and x axes in simple terms. The decrease or increase in two points together and then found with the formula of rise/run (increase and decrease) (horizontal line/vertical line).
The y-intercept is always on the y-axis and is the beginning of what is learned in pre-algebra as a "story" which helps students practice finding the slope which again, is the change with "per" or "each".
Make sure to use the formula:
y = mx + b
Now we insert.
y = 8x <---------- slope
y = 8x - 5 <------ y-intercept and completed slope-intercept equation.
The reason it has a negative is because it started out as a negative y-intercept and is increasing by 8 through ordered pairs.
Answer:
y = 8x - 5
Step-by-step explanation:
because if its has a slope of 8 then m is 8
if the y intercept is -5 the b is -5
y = mx + b
y = 8x -5
Which of the following is equal to the rational expression below when x doesn't equal 2 or 9?
4(x-2)/(x-2)(x-9)
Answer:
D. 4 / ( x - 9 )
Step-by-step explanation:
4 ( x - 2 ) / ( x - 2 ) ( x - 9)
= 4 / ( x - 9 )
Anita is making headbands for her softball team. She needs a total of
3/4 yard of fabric. Which types of fabric cost less than $8 per yard? Write yes or no in each blank.
Fabric
Total Cost for
3/4 Yard ($)
Cotton
5.54
Flannel
2.62
Fleece
4.27
Terry Cloth
6.52
Answer:
Yes, No, No, Yes, Yes are the answers!
Hope you do Great!
Step-by-step explanation:
If you have a circle with a central angle of 80 degrees, what is the degrees of its inscribed angle?
Answer:
The measure of the inscribed angle is \(40^{\circ}\)
Step-by-step explanation:
Recall that the measure of the inscribed angle is one-half the measure of the central angle subtended by the same arc.
So, if the measure of the central angle is \(80^{\circ}\), so the measure of the corresponding inscribed angle is:
\(\frac{1}{2}\times 80^{\circ}=40^{\circ}\)
Is $9 : 4 visitors - $18 : 8 visitors proportional
Yes, $9 for 4 visitors and $18 for 8 site visitors are proportional.
To determine whether or not $9 for 4 visitors and $18 for 8 visitors are proportional, we need to test if the ratio of the value to the number of visitors is the equal for both cases.
The ratio of cost to the quantity of visitors for $9 and four visitors is:
$9/4 visitors = $2.25/ visitors
The ratio of value to the quantity of visitors for $18 and eight visitors is:
$18/8 visitors = $2.25/ visitors
We are able to see that both ratios are equal to $2.25 per visitor.
Therefore, $9 for 4 visitors and $18 for 8 site visitors are proportional.
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Nick,Jim and June share money in the ratio 5:5:3 in total nick and June received £88 how much does Jim get ?
Given:
Nick, Jim and June share money in the ratio 5:5:3.
In total Nick and June received £88.
To find:
The amount received by Jim.
Solution:
Let Nick, Jim and June received 5x, 5x and 3x respectively.
In total Nick and June received £88.
\(5x+3x=88\)
\(8x=88\)
\(x=\dfrac{88}{8}\)
\(x=11\)
Now, the amount received by Jim is
\(\text{Jim get}=5x\)
\(=5(11)\)
\(=55\)
Therefore, the amount received by Jim is £55.
180-(3x-10) simplify this
Answer:
-3x+190
Step-by-step explanation:
180-(3x-10)
180-3x+10
-3x+190
Answer:
\(180 - (3x - 10) \\ = 180 - 3x + 10 \\ = 190 - 3x\)
hope I am correct
thanks!
z = -400i - 44.5
What is the imaginary part of z?
Answer:
-400i
General Formulas and Concepts:
Algebra II
Complex Form: a + biStep-by-step explanation:
Step 1: Define
z = -400i - 44.5
Step 2: Identify
Treat imaginary i as a variable. The imaginary part of z would be the entire term of i. Therefore, our answer is -400i
PLS HELP ME !! ( WILL GIVE BRAINLIEST )
Step-by-step explanation:
hope it was answer.. mark me briliant
The strength, S, of a wooden beam depends on the width and depth of the rectangular cross-section of the beam, but not on the length of the beam. For a particular type of wood, the value of S of a beam is proportional to the product of the width and the square of the depth of its cross-section. Suppose the strength of an oak beam is 69 , when the beam is 7 inches wide and 3 inches deep. Determine the strength, S, of the largest rectangular beam that can be cut from a 28 -inch-diameter oak tree, given that the beam must be 14 inches wide. Remember y is proportional to x if there is a constant k such that y=kx. The constant k is known as the constant of proportionality. a) S=9016 b) S=2231 c) S=8232 d) S=392
The real root of the equation is x = 40 - 39√2, which gives a value of S = 2231 approximately.
Given,The strength, S, of a wooden beam depends on the width and depth of the rectangular cross-section of the beam, but not on the length of the beam.
For a particular type of wood, the value of S of a beam is proportional to the product of the width and the square of the depth of its cross-section.
The strength of an oak beam is 69, when the beam is 7 inches wide and 3 inches deep.Thus, we can conclude that k, a constant of proportionality exists, such that: S=k(W x D²), where W is the width, D is the depth of the rectangular cross-section and S is the strength of the beam.
Let's use this to calculate k: When the beam is 7 inches wide and 3 inches deep, S=69. Thus, we get:k = S/W x D²=69/(7 x 3²)=1.
Thus, the equation for S becomes:S = W x D²The radius of the oak tree is 28/2 = 14 inches and the beam must be 14 inches wide.
This implies that the rectangular cross-section of the beam must be square (or the largest rectangular cross-section is a square). Let the side of the square cross-section be x.
Thus, we can write:S = x²Diameter, d = 28 inches => radius, r = 14 inchesWe need to determine the depth of the beam. The depth of the beam is half the height of the cylindrical log from which the beam is cut. The cylindrical log has a diameter of 28 inches. The beam has a width of 14 inches.
The largest rectangular cross-section is a square with sides of length x. This cross-section can be obtained by cutting the log at a height of x/2 from its center.Since the diameter is 28 inches, the radius is 14 inches. The height at which the beam is cut is h = 14 - x/2.
Thus, the depth of the rectangular beam cut from the cylindrical log is given by: D = 2(h) = 2(14 - x/2) = 28 - x.Using the relationship S = W x D² with S = 69, W = 14 and k = 1, we can write:x² (28 - x)² = 69Simplifying the above equation,x⁴ - 56x³ + 784x² - 69 = 0.
Using polynomial long division, we get:(x² + 16x - 69)(x² - 40x + 1) = 0The real root of the equation is x = 40 - 39√2, which gives a value of S = 2231 approximately.Therefore, the answer is (b) S = 2231.
The strength, S, of a wooden beam depends on the width and depth of the rectangular cross-section of the beam, but not on the length of the beam. Let the side of the square cross-section be x. Thus, we can write:S = x²Diameter, d = 28 inches => radius, r = 14 inches. Using the relationship S = W x D² with S = 69, W = 14 and k = 1, we can write:x² (28 - x)² = 69.The real root of the equation is x = 40 - 39√2, which gives a value of S = 2231 approximately.
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Solve the system of equations below by graphing both equations with a
pencil and paper. What is the solution?
y=-x-1
y= x+3
A. (0,3)
B. (-2,1)
C. (-1,2)
O D. (0, -1)
Given y=15x+4, write the equation of the line perpendicular to the given line that contains point (-2, 3). (10 points)
You must show all work neat and organized! No work! No credit! Final answer should be in slope-intercept form.
FOR 5 EXTRA CREDIT POINTS - CONVERT YOUR FINAL ANSWER INTO STANDARD FORM!
plz help
Answer:
y= -1/15x + 43/15
x + 15y = 43
Step-by-step explanation:
See attachment.
Pls help me guys I have no clue how to do it!!!!
Answer:
234 mm²
Step-by-step explanation:
area of each side = L x W
(15 x 3 x 2) + (15 x 4 x 2) +(3 x 4 x 2) = 234 mm²
According to the Rational Root Theorem, which is a factor of the polynomial f(x) = 3x3 – 5x2 – 12x + 20?
Answer:
Step-by-step explanation:
You didn't give your options, but it doesn't matter. We'll find all the possibilities and then you can pick it from your list.
When I teach this in Algebra 2, I call it the "the c over d thing" and all my students know EXACTLY to what I am referring. "c" is the constant and "d" is the leading coefficient. The combination of c/d give you the possibilities of roots for the polynomial. There are no real roots that a polynomial can have other than the possibilities we find when we do the c/d thing.
Our c is a 20. All the factors of 20 are as follows (notice that we have both the positive and negative factors):
20: ±1, ±2, ±4, ±5, ±10, ±20
Our d is a 3. All the factors of 3 are as follows (again, both the + and the -):
3: ±1, ±3 and that's it for 3.
c/d is as follows. Make sure you put ever c over every d!!!:
c/d: ±\(\frac{1}{1}\), ±\(\frac{2}{1}\), ±\(\frac{4}{1}\), ±\(\frac{5}{1}\), ±\(\frac{10}{1}\), ±\(\frac{20}{1}\), ±\(\frac{1}{3}\), ±\(\frac{2}{3}\), ±\(\frac{4}{3}\), ±\(\frac{5}{3}\), ±\(\frac{10}{3}\), ±\(\frac{20}{3}\)
Those are all the possibilities for your roots for that polynomial. As long as the roots are real (and they won't always all be real!), there are no roots but these.
Answer:
its D on edge
Step-by-step explanation:
2. Show that if X and Y are r.v.'s with E (YA) = X and EX² = EY² < [infinity], then X = Y a.s. (i.e. P(X = Y) = 1). [Hint: Work out E(X - Y)².]
In order to prove that X=Y almost surely (a.s.), we need to show that the probability of X being equal to Y is equal to 1. The expectation of (X-Y)² will help us understand the behavior of the squared difference between X and Y.
To begin, we can expand E((X-Y)²) as E(X² - 2XY + Y²). Using the given information, we know that EX² = EY². Substituting this equality, we get E((X-Y)²) = EX² - 2EXY + EY². Since E(YA) = X, we can replace EXY with E(YA). Therefore, E((X-Y)²) simplifies to EX² - 2EXY + EY² = EX² - 2EXY + EX = EX(X - Y).
Now, we analyze E((X-Y)²) further. The expectation of a non-negative quantity (X-Y)² is always non-negative. If E((X-Y)²) = 0, then (X-Y)² = 0 with probability 1, implying that X = Y almost surely. Conversely, if X ≠ Y, then (X-Y)² > 0 with positive probability, and thus E((X-Y)²) > 0.
Since we know that EX² = EY² < ∞, we can conclude that E((X-Y)²) = EX(X - Y) < ∞. From this, we can deduce that E((X-Y)²) = 0, which implies that X = Y a.s. Therefore, we have shown that P(X = Y) = 1, as desired.
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Place each number in the Venn diagram. Then classify each number by indicating in which set or sets it belongs. 9. 14.1 10. 7/1/ 11.-8 12. 101 Rational Numbers Integers Whole Numbers
1. Consider the inequality 4x + 12 > 6x +24. Which value(s) of rare possible
solution(s) to the inequality?
You CAN have one or more solutions.
a.
x= -16
b.
x = - 10
C.
x= -6
d.
x = 6
e.
X = 10
f.
x = 16
Answer:
A. -16
Step-by-step explanation:
6 times -16 = -96 + 24 = -72
4 times -16 = -64 + 12 = -52
How much does one square foot of 16 gauge steel weigh if 15.7 square feet weighs 40.035 lb?
Step-by-step explanation:
2.5 pounds per square foot
Examples: 16 ga CRS is 2.5 pounds per square foot.
So, 40.035
How long would Joey need to invest his $300 at 4% annual interest if he wants to end up with $400? Assume simple interest, I = PRT and round to the nearest tenth of a year
The time it would take Joey is 3 years
How to determine the valueGiven that the formula for simple interest is;
I = PRT
Where;
I is the simple interest = $400R is the rate = 4%T is the time in years P is the principal amount = $300Substitute into the formula
400 = 300 × 4 × t/ 100
cross multiply
4000 = 1200 t
Make 't' the subject
t = 4000/ 1200
t = 3. 3
t = 3 years in the nearest tenth
Thus, the time it would take Joey is 3 years
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simplify -2.7+0.8f-16-5
Jackson recorded the growth of a plant over 10 weeks. The equation y=0.25x+4 represents the height in inches over the time in weeks. How tall will the plant be after 5 weeks? How tall will it be after 12 weeks? (PLEASE HELP)
Answer:
5.25 inches after 5 wks
7 inches after 12 wks
Step-by-step explanation:
after 5 weeks: y = .25(5) + 4 which is 5.25 inches
after 12 weeks: y = .25(12) + 4 which is 7 inches
find the length of the longest scale which can measure 64meter and 48meter exactly
Answer:
16 meters
Step-by-step explanation:
Factors of 64: 1, 2, 4, 8, 16, 32, 64
Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
The greatest common factor of 64 and 48 is 16.
Answer:
Step-by-step explanation:
To find the length of the longest scale that can measure 64 m and 48 m exactly, we need to find the greatest common factor (GCF) of 64 and 48. The GCF is the largest number that divides both numbers without leaving a remainder. One way to find the GCF is to list the factors of both numbers and find the largest one that they have in common. For example:
Factors of 64: 1, 2, 4, 8, 16, 32, 64
Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
The largest factor that both numbers have in common is 16. Therefore, the GCF of 64 and 48 is 16.
This means that the longest scale that can measure both lengths exactly is 16 m. We can check this by dividing both lengths by 16 and seeing that there is no remainder:
1664=4
1648=3
a. (5) The demand function for a good X is Qx= m-3Px+2Py, where m is income, Px is the price of X, Py is the price of a related good Y and Qx is the demand for X. Income and prices are all positive. X
The demand function for good X is Qx = m - 3Px + 2Py, where Qx is the quantity demanded of X, m is income, Px is the price of X, and Py is the price of a related good Y. The equation shows that the demand for X is inversely related to its price and directly related to the price of Y. Income, price of X, and price of Y collectively affect the overall demand for X.
The demand function for good X is given by Qx = m - 3Px + 2Py, where Qx represents the quantity demanded of good X, m is the income, Px is the price of good X, and Py is the price of a related good Y. In this equation, the income and prices are assumed to be positive.
To determine the demand for good X, we can analyze the equation. The coefficient -3 in front of Px indicates that the demand for good X is inversely related to its price. As the price of X increases, the quantity demanded of X decreases, assuming other factors remain constant. On the other hand, the coefficient 2 in front of Py indicates that the demand for good X is directly related to the price of the related good Y. If the price of Y increases, the quantity demanded of X also increases, assuming other factors remain constant.
Furthermore, the term (m - 3Px + 2Py) represents the overall effect of income, price of X, and price of Y on the quantity demanded of X. If income (m) increases, the quantity demanded of X increases. If the price of X (Px) increases, the quantity demanded of X decreases. If the price of Y (Py) increases, the quantity demanded of X increases.
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Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Use the information given to correctly complete the sentence.
A scientist observes that a zebra ran 54 yards in 135 seconds.
The zebra ran at a rate of
feet per minute.
Answer:
135 seconds = 54 yards
1sec = 54/135 yards
60 sec = 54/135 * 60
1 minute = 24 yards
hope it helps you jamie
can someone help me with this question?
The final balace in Tracy's bank account is $ 361.80.
How to follow transactions in a bank account
In this question we must pay attention to every movement in a bank account and determine final balance within. The hint is having an active reading in the meaning of translating every Tracy's movement in additions and subtractions, First, we translate very sentence into numbers and signs:
Tracy's checking account: + $ 300.00
Tracy bought new sneakers: - $ 63.00
Tracy deposited a paycheck: + $ 43.25
Tracy wrote a check: - $ 17.75
Tracy wrote a check: - $ 9.45
Tracy made a withdrawal at her bank: - $ 20.00
Tracy deposited a paycheck: + $ 43.25
Tracy wrote a check: - $ 18.00
Tracy made a withdrawal at another bank: - $ 20.00 - $ 1.50
Tracy deposited her birthday money: + $ 125.00
Second, calculate the final balance in Tracy's account:
x = 300.00 - 63.00 + 43.25 - 17.75 - 9.45 - 20.00 + 43.25 - 18.00 - 20.00 - 1.50 + 125.00
x = 361.80
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Test the function x-y²=0 for symmetries.
Show all your work and make a conclusion.
Clue: Separate the y first. Thanks!
For Symmetry About Y-Axis, let's try to replace x with −x, and check if the equations still equal:
-x - y² = 0
The equation changed, so there is no symmetry about Y-Axis.
For Symmetry About X-Axis, let's try to replace y with −y, and check if the equations still equal:
x - (-y)² = 0
x - y² = 0
The equation stayed the same, so there is a symmetry in X-Axis.
Lets try Origin Symmetry Replacing x with −x and y with −y:
-x - (-y)² = 0
-x - y² = 0
The equation changed, so there is no Origin Symmetry.
is 12n+20 equivalent
Answer:
32
Step-by-step explanation:
can't find N
please please please help me
Answer:
For the first one, the answer would be:
2/3 * 3/8 = 6/24 because, all you have to do is multiply straight across.
2 * 3 = 6 and 3 * 8 = 24
6/24 can be simplified to 1/4 because 6 with go into the denominator 4 times, so the simplified fraction will be 1/4.
(Im not so sure what to do about the second one, so I would need to see what the options look like)
For the third:
The answer would be 3/3, because:
2 * 3 = 6
5 * 3 = 15
And the result fraction is 6/15, which matches what the image shows!
Step-by-step explanation:
Hope it helps! =D
determine the shearing transformation matrix that shears units in the vertical direction.
In mathematics, a shearing transformation is a linear transformation that moves points in a plane or a two-dimensional space by a fixed distance in a specified direction.
The shearing transformation that shears units in the vertical direction can be determined as follows: A shearing transformation matrix takes the following form:|1 c||0 1|where c is the shear factor. To shear the units in the vertical direction, set c equal to the desired vertical shear factor. In this case, the vertical shear factor is 2.|1 2||0 1|is the shearing transformation matrix that shears units in the vertical direction.
Therefore, the shearing transformation matrix that shears units in the vertical direction is:
| 1 s |
| 0 1 |
where "s" represents the amount of shear.
To determine the shearing transformation matrix that shears units in the vertical direction, we can consider a 2D coordinate system. In a 2D coordinate system, a shearing transformation matrix can be represented as:
| 1 s |
| 0 1 |
where "s" represents the amount of shear in the vertical direction. If we apply this transformation matrix to a point (x, y), the transformed coordinates would be:
x' = x + s * y
y' = y
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